Junior Fellow of the Simons Society of Fellows

Department of Mathematics at Columbia University

2990 Broadway, New York, NY 10027, USA

**Email**: lctsai.math@gmail.com

My curriculum vitae.

I am a Junior Fellow of the Simons Society of Fellows, working with Ivan Corwin in the Department of Mathematics at Columbia University in the City of New York.

I am co-organizing the Columbia Probability Seminar. My research is supported by the National Science Foundation under Grant No. DMS-1712575.

I received my PhD in Mathematics at Stanford University in 2016, with my PhD advisor Amir Dembo. I was a KITP Graduate Fellow in 2016.

My research interest is in probability theory, in particular the asymptotic fluctuation of interacting particle systems. Before joining Stanford, I worked on the kinetic theory of gas with Tai-Ping Liu.

See also Google Scholar.

- Exceedingly Large Deviations of the Totally Asymmetric Exclusion Process [arXiv]

with Stefano Olla. - The Criticality of a Randomly-Driven Front [arXiv]

with Amir Dembo. Submitted. - Stationary Distributions of the Atlas Model [arXiv]

Submitted. - Stationary Gap Distributions for Infinite Systems of Competing Brownian Particles [arXiv]

with Andrey Sarantsev. Electron. J. Probab. 22 (56), 2017 - KPZ equation limit of higher-spin exclusion processes [arXiv]

with Ivan Corwin. Ann. Prob. 45 (3) 1771-1798, 2017 - ASEP(q,j) converges to the KPZ equation [arXiv]

with Ivan Corwin and Hao Shen. To appear in Ann. Inst. Henri PoincarĂ© (B) Probab. Stat. - Infinite Dimensional Stochastic Differential Equations for Dyson's Model [arXiv][MR]

Probab. Theory Related Fields. 166 (3) 801-850, 2016 - Weakly asymmetric non-simple exclusion process and the KPZ equation [arXiv][MR]

with Amir Dembo. Comm. Math. Phys. 341 (1), 219-261, 2016 - Optimal Surviving Strategy for Drifted Brownian Motions with Absorption [arXiv]

with Wenpin Tang. To appear in Ann. Prob. - Equilibrium Fluctuation of the Atlas Model [arXiv]

with Amir Dembo. To appear in Ann. Prob. - Equilibrating effects of boundary and collision in rarefied gases [MR]

with Hung-Wen Kuo and Tai-Ping Liu. Comm. Math. Phys. 328 (2), 421-480, 2014 - Free molecular flow with boundary effect [MR]

with Hung-Wen Kuo and Tai-Ping Liu. Comm. Math. Phys. 318 (2), 375-409, 2013 - Viscous shock propagation with boundary effect [MR]

Bull. Inst. Math. Acad. Sin. (N.S.) 6, 1-26, 2011